Journal
NEURAL NETWORKS
Volume 118, Issue -, Pages 102-109Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2019.06.008
Keywords
Quasi-projective synchronization; Complete synchronization; Fractional-order; Complex-valued neural networks; Time delays
Funding
- National Natural Science Foundation of China [11702237, 61573096, 61473244, U1703262]
- China Postdoctoral Science Foundation [1107010238]
- Scientific Research Program of the Higher Education Institution of Xinjiang, China [XJEDU2017S001, XJEDU2017T001]
- Natural Science Foundation of Xinjiang, China [2017D01C082]
- Doctoral Scientific Research Foundation of Xinjiang University, China [BS160204]
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This paper studies quasi-projective synchronization (QPS) and complete synchronization (CS) for a class of fractional-order complex-valued neural networks with time delays by designing suitable controllers. To realize QPS and CS, linear feedback controller and adaptive controller are designed, and a novel fractional-order differential inequality is built by means of Laplace transform and properties of Mittag-Leffler function. By utilizing Lyapunov method, our proposed inequality, fractional-order Razumikhin theorem and some complex analysis techniques, some effective criteria are derived to ensure QPS and CS of the considered networks. Furthermore, the error bound of QPS is obtained. Finally, some numerical results are given to demonstrate the effectiveness of the presented theoretical results. (C) 2019 Elsevier Ltd. All rights reserved.
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